Question

two numbers are in the ratio 5:6. If 7 is subtracted from each of the numbers, the ratio becomes 4:5. Find the numbers..

Answer 1

Let the common multiple be x

So, let the 1st number be 5x and 2nd number be 6x

After 7 subtracting from both of them,

1st number becomes 5x - 7

2nd number becomes 6x - 7


According to the given condition

5x - 7/6x - 7 = 4/5

☛ 5(5x - 7) = 4(6x - 7)

☛ 25x - 35 = 24x - 28

☛ 25x - 24x = -28 + 35

☛ x = 7


∴ 1st number ☛ 5x

☛ 5 × 7

☛ $\large{\boxed{\boxed{\rm{35}}}}$


∴ 2nd number ☛ 6x

☛ 6 × 7

☛ $\large{\boxed{\boxed{\rm{42}}}}$

Answer 2

Answer:

hope it helps ...... thank you......